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Discussion on the Choice of Decomposition Level for Wavelet Based Hydrological Time Series Modeling

机译:基于小波的水文时间序列建模分解水平选择的探讨。

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The combination of wavelet analysis methods with data-driven models is a prevalent approach to conducting hydrological time series forecasting, but the results are affected by the accuracy of the wavelet decomposition of the series. The choice of decomposition level is one of the key factors for the wavelet decomposition. In this paper, the data of daily precipitation and streamflow time series measured in the upper reach of the Heihe River Basin in Northwest China were used as an example, and the influence of the decomposition level on wavelet-based hydrological time series forecasting was investigated. The true components of the precipitation series were identified, and the modeling results using 10 decomposition levels and two decomposition types were compared. The results affirmed that the wavelet-based modeling performance is sensitive to the choice of decomposition level, which is determined by the time series analyzed, but has no relation with the decomposition type used. The essence of the choice of decomposition level is to reveal the complex variability of hydrological time series under multi-temporal scales, and first knowing the true components of series could guide the choice of decomposition level. Through this study, the relationship among original series’ characteristics, the choice of decomposition level, and the accuracy of wavelet-based hydrological time series forecasting can be more clearly understood, and it can be an improvement for wavelet-based data-driven modeling.
机译:小波分析方法与数据驱动模型的结合是进行水文时间序列预测的一种普遍方法,但是结果受该序列的小波分解精度的影响。分解级别的选择是小波分解的关键因素之一。本文以西北地区黑河流域上游测得的日降水量和径流时间序列数据为例,研究了分解水平对基于小波的水文时间序列预测的影响。确定了降水序列的真实成分,并比较了使用10种分解水平和两种分解类型的模拟结果。结果证实,基于小波的建模性能对分解级别的选择敏感,该级别由分析的时间序列确定,但与所使用的分解类型无关。分解级别选择的实质是揭示多时间尺度下水文时间序列的复杂变异性,首先了解序列的真实成分可以指导分解级别的选择。通过这项研究,可以更清楚地了解原始序列特征,分解级别的选择以及基于小波的水文时间序列预测的准确性之间的关系,这对于基于小波的数据驱动的建模是一种改进。

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